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Step2247 [10]
3 years ago
8

A ladder is placed against the side of a house. The top of the ladder is 12 feet above the ground. The base of the ladder is 5 f

eet away from the house. Find the length of the ladder.
Mathematics
1 answer:
Colt1911 [192]3 years ago
3 0
This is the Pythagorean theorem where the 2 legs of a triangle squared add up to equal the squared hypotenuse (a^2 + b^2 = c^2)

The equation would be
12^2 + 5^2 = x^2

144 + 25 = 169

The square root of 169 = 13

Answer - 13 ft
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Is my answer correct? If its not, would you mine telling me what is correct?
Luden [163]

Answer:

Sorry but you have the y and x mixed up

Step-by-step explanation:

You have them mixed up

6 0
3 years ago
Read 2 more answers
Last year, a women's professional organization made two small-business loans totaling $28,000 to young women beginning their own
igor_vitrenko [27]

Answer:

$7,000 at a rate of 7% and $21,000 at a rate of 14%.

Step-by-step explanation:

Let x be amount invested at 7% and y be amount invested at 14%.

We have been given that a women's professional organization made two small-business loans totaling $28,000. We can represent this information in an equation as:

x+y=28,000...(1)

The interest earned at 7% in one year would be 0.07x and interest earned at 14% in one year would be 0.14x.

We are also told that the organization received from these loans was $3,430. We can represent this information in an equation as:

0.07x+0.14y=3,430...(2)

Form equation (1), we will get:

x=28,000-y

Upon substituting this value in equation (2), we will get:

0.07(28,000-y)+0.14y=3,430

1960-0.07y+0.14y=3,430

1960+0.07y=3,430

1960-1960+0.07y=3,430-1960

0.07y=1470

\frac{0.07y}{0.07}=\frac{1470}{0.07}

y=21,000

Therefore, an amount of $21,000 was invested at a rate of 14%.

x=28,000-y

x=28,000-21,000

x=7,000

Therefore, an amount of $7,000 was invested at a rate of 14%.

8 0
3 years ago
Py+7=6y+q solve for y
andreyandreev [35.5K]

We know that we are solving for y.


This is a step by step procedure to get the value of y.


First: Move all terms to the left side and set equal to zero.


Second: Then set each factor equal to zero.

 

The application is:


Given: py+7=6y+q 


-6y -7 -6y -7 = 0


(p-6)y = q-7



divide both sides by p-6
y=(q-7)/(p-6)


Answer is y = (q – 7) / (p – 6) 

8 0
3 years ago
What’s the quadrant
Vadim26 [7]

Hey there!!

Always remember this :

90-degree counterclockwise: (x, y) → (-y, x)

180-degree counterclockwise: (x, y) → (-x, -y)

270-degree counterclockwise: (x, y) → (y, -x)

1st quadrant : ( x , y )

second quadrant : ( -x , y )

Third quadrant : ( - x , - y )

Fourth quadrant : ( x , -y )

Now, the triangle abc lies in the 1st quadrant. So, all the vertexes will have positive values.

Let's take the vertex  a as ( 1 , 2 )

Vertex b as ( 4 , 7 )

Vertex c as ( 5 , 9 )

If we rotate these values in 90 degress angle, these would become ( -y , x )

Vertex a : ( 1 , 2 ) ; After rotating : ( -2 , 1 )

Vertex b : ( 4 , 7 ) ; After rotating : ( -7 , 4 )

Vertex c : ( 5 , 9 ) ; After rotating : ( -9 , 5 )

Hope my answer helps!

3 0
3 years ago
There is a walking trail at the park. Four laps around the trail is a distance of 1 mile. How many laps does it take to walk 3/4
ira [324]

Pretty Sure it is 3 laps. because if it is 4 laps = 1 mile. then 1/4 = 1 lap 2/4= 2 laps 3/4 = 3 laps and then 4/4 = 4 laps = 1 mile.


Hope this helps :)

 

4 0
3 years ago
Read 2 more answers
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